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受欢迎的代数 >

6=4x-5x^2

解答

6 = 4 x - 5 x^{2}

解答

x = \frac{2}{5} - i \frac{26}{5}, x = \frac{2}{5} + i \frac{26}{5}

求解步骤

6 = 4 x - 5 x^{2}

交换两边

4 x - 5 x^{2} = 6

将

6

para o lado esquerdo

4 x - 5 x^{2} - 6 = 0

改写成标准形式

a x^{2} + b x + c = 0

- 5 x^{2} + 4 x - 6 = 0

使用求根公式求解

x_{1, 2} = \frac{- 4 \pm 4 ^{2} - 4 ( - 5 ) ( - 6 )}{2 ( - 5 )}

化简

4^{2} - 4 (- 5) (- 6) : 226 i

x_{1, 2} = \frac{- 4 \pm 2 26 i}{2 ( - 5 )}

将解分隔开

x_{1} = \frac{- 4 + 2 26 i}{2 ( - 5 )}, x_{2} = \frac{- 4 - 2 26 i}{2 ( - 5 )}

x = \frac{- 4 + 2 26 i}{2 ( - 5 )} : \frac{2}{5} - i \frac{26}{5}

x = \frac{- 4 - 2 26 i}{2 ( - 5 )} : \frac{2}{5} + i \frac{26}{5}

二次方程组的解是:

x = \frac{2}{5} - i \frac{26}{5}, x = \frac{2}{5} + i \frac{26}{5}

作图

流行的例子

20-x= 1/324 x^2+1

20 - x = \frac{1}{324} x^{2} + 1

h^{2} = 49

\frac{1}{2} x^{2} - 3 x + 4 = 0

2 x^{2} - 50 = 25 - x^{2}

(3x+4)^2-36=15x+20

(3 x + 4)^{2} - 36 = 15 x + 20